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Finding the Fourth Proportional to 17.91, 26.78 and 13.37

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Solution

The fourth proportional to 17.91, 26.78 and 13.37 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.91 : 26.78 = 13.37 : x
  2. Step 2: Convert to fraction form
    17.91/26.78 = 13.37/x
  3. Step 3: Cross multiply
    17.91x = 26.78 × 13.37
  4. Step 4: Simplify right side
    17.91x = 357.85
  5. Step 5: Solve for x
    x = 357.85/17.91
  6. Step 6: Final answer
    x = 19.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.